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525434484434525 = 52269696971121017
BaseRepresentation
bin111011101111000010011111…
…1110011000010011001011101
32112220102001020122021102112222
41313132010333303002121131
51022332204311003401100
65101301134141435125
7215450250226502651
oct16736047763023135
92486361218242488
10525434484434525
11142468571461826
124ab2088186baa5
131972534a828a53
1493a7244084a61
1540b2b5403e485
hex1dde13fcc265d

525434484434525 has 24 divisors (see below), whose sum is σ = 653970804160680. Its totient is φ = 418778574888960.

The previous prime is 525434484434521. The next prime is 525434484434527.

525434484434525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 139511366889049 + 385923117545476 = 11811493^2 + 19644926^2 .

It is not a de Polignac number, because 525434484434525 - 22 = 525434484434521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525434484434521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468151817 + ... + 469272833.

It is an arithmetic number, because the mean of its divisors is an integer number (27248783506695).

Almost surely, 2525434484434525 is an apocalyptic number.

It is an amenable number.

525434484434525 is a deficient number, since it is larger than the sum of its proper divisors (128536319726155).

525434484434525 is a wasteful number, since it uses less digits than its factorization.

525434484434525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190993 (or 1190988 counting only the distinct ones).

The product of its digits is 737280000, while the sum is 62.

The spelling of 525434484434525 in words is "five hundred twenty-five trillion, four hundred thirty-four billion, four hundred eighty-four million, four hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 5 25 269 1345 6725 69697 348485 1121017 1742425 5605085 18748493 28025425 93742465 301553573 468712325 1507767865 7538839325 78131521849 390657609245 1953288046225 21017379377381 105086896886905 525434484434525